In many answers, e.g., How to express “x*(2^(1/x)-1)” in CVX

, `exponential(1)`

is used.

What is the difference between `exponential`

and `exp_cone`

?

I have tried to find `exponential`

in CVX manual, but I cannot find it.

There are only `exp_cone`

, defined as

I think to minimize x*(2^{1/x}-1), I have to use the right-most code as follows.

However, in How to express “x*(2^(1/x)-1)” in CVX

, Mark_L_Stone recommended to use the following code: `{1,x,z} == exponential(1)`

Please let me know what the difference is between `exponential`

and `exp_cone`

?

Also, why he recommended to use `==`

instead of `<in>`

?

Thank you.